US10078227B2 - Autostereoscopic display screen and autostereoscopic display device using the same - Google Patents

Autostereoscopic display screen and autostereoscopic display device using the same Download PDF

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US10078227B2
US10078227B2 US15/331,909 US201615331909A US10078227B2 US 10078227 B2 US10078227 B2 US 10078227B2 US 201615331909 A US201615331909 A US 201615331909A US 10078227 B2 US10078227 B2 US 10078227B2
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axial direction
light
length
autostereoscopic display
cylindrical
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US20170276953A1 (en
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June-Jei Huang
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Delta Electronics Inc
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Delta Electronics Inc
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    • G02B27/2214—
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B30/00—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images
    • G02B30/20—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes
    • G02B30/26—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes of the autostereoscopic type
    • G02B30/27—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes of the autostereoscopic type involving lenticular arrays
    • G02B27/2242—
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B3/00—Simple or compound lenses
    • G02B3/0006—Arrays
    • G02B3/0037—Arrays characterized by the distribution or form of lenses
    • G02B3/0043—Inhomogeneous or irregular arrays, e.g. varying shape, size, height
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B3/00—Simple or compound lenses
    • G02B3/0006—Arrays
    • G02B3/0037—Arrays characterized by the distribution or form of lenses
    • G02B3/005—Arrays characterized by the distribution or form of lenses arranged along a single direction only, e.g. lenticular sheets
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B3/00—Simple or compound lenses
    • G02B3/0006—Arrays
    • G02B3/0037—Arrays characterized by the distribution or form of lenses
    • G02B3/0062—Stacked lens arrays, i.e. refractive surfaces arranged in at least two planes, without structurally separate optical elements in-between
    • G02B3/0068—Stacked lens arrays, i.e. refractive surfaces arranged in at least two planes, without structurally separate optical elements in-between arranged in a single integral body or plate, e.g. laminates or hybrid structures with other optical elements
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B30/00—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images
    • G02B30/20—Optical systems or apparatus for producing three-dimensional [3D] effects, e.g. stereoscopic images by providing first and second parallax images to an observer's left and right eyes
    • G02B30/34—Stereoscopes providing a stereoscopic pair of separated images corresponding to parallactically displaced views of the same object, e.g. 3D slide viewers
    • G02B30/36—Stereoscopes providing a stereoscopic pair of separated images corresponding to parallactically displaced views of the same object, e.g. 3D slide viewers using refractive optical elements, e.g. prisms, in the optical path between the images and the observer
    • G—PHYSICS
    • G02—OPTICS
    • G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00—Optical elements other than lenses
    • G02B5/04—Prisms
    • G02B5/045—Prism arrays
    • H—ELECTRICITY
    • H04—ELECTRIC COMMUNICATION TECHNIQUE
    • H04N—PICTORIAL COMMUNICATION, e.g. TELEVISION
    • H04N13/00—Stereoscopic video systems; Multi-view video systems; Details thereof
    • H04N13/30—Image reproducers
    • H04N13/302—Image reproducers for viewing without the aid of special glasses, i.e. using autostereoscopic displays
    • H04N13/305—Image reproducers for viewing without the aid of special glasses, i.e. using autostereoscopic displays using lenticular lenses, e.g. arrangements of cylindrical lenses

Definitions

  • the present disclosure relates to an autostereoscopic display screen and an autostereoscopic display device using the same.
  • a stereoscopic display device can display images individually to two eyes of an observer through optical elements, such that the observer can experience a stereoscopic image.
  • an autostereoscopic display device transmits light beams of different images to different spatial positions. Therefore, the eyes of an observer receive different images from different angles so that the observer perceives a stereoscopic image without the special glasses. Accordingly, autostereoscopic display technology address problems and inconveniences associated with using the special glasses.
  • An aspect of the present disclosure provides an autostereoscopic display screen which includes a light-deflecting component and a double-sided lenticular lens.
  • the autostereoscopic display screen is applicable in an autostereoscopic display device, in which the autostereoscopic display device includes an image emitter configured to provide an image signal. With the image emitter, the autostereoscopic display device can provide stereoscopic images using time-multiplex methods.
  • the autostereoscopic display screen can adjust a projected direction of a light beam passing through, such that the light beam's image signal passing through the autostereoscopic display screen can be projected towards more than one direction and provide stereoscopic images using spatial-multiplex methods.
  • the range of observable angle of the stereoscopic images can be increased with the use of the double-sided lenticular lens.
  • the dimensions of cylindrical lenses of the double-sided lenticular lens can be chosen or adjusted, thereby adjusting the observing zones provided by the autostereoscopic display screen.
  • An aspect of the present disclosure provides an autostereoscopic display screen including a light-deflecting component and a double-sided lenticular lens.
  • the light-deflecting component is configured to receive a light beam and deflect the light beam towards a plurality of directions.
  • the double-sided lenticular lens is disposed at a side of the light-deflecting component.
  • the double-sided lenticular lens includes a first cylindrical lens array, a second cylindrical lens array, and a central portion.
  • the first cylindrical lens array faces towards the light-deflecting component and includes a plurality of first cylindrical lenses, in which each of the first cylindrical lenses has a first length in a first axial direction.
  • the second cylindrical lens array faces away from the light-deflecting component and includes a plurality of second cylindrical lenses and at least one third cylindrical lens.
  • the second cylindrical lenses have a second length in the first axial direction and the third cylindrical lens has a third length in the first axial direction, in which the first length is greater than the second length and the second length is greater than the third length.
  • the central portion is disposed between the first cylindrical lens array and the second cylindrical lens array, in which the first cylindrical lens array, the central portion, and the second cylindrical lens array are arranged along an axis that is substantially perpendicular to the first axial direction.
  • the autostereoscopic display screen is applied to an autostereoscopic display device.
  • the autostereoscopic display device includes an image emitter disposed at a side of the autostereoscopic display screen.
  • the light-deflecting component of the autostereoscopic display screen is optically coupled between the image emitter and the double-sided lenticular lens, in which the image emitter is configured to emit an image signal towards the autostereoscopic display screen.
  • the image signal has images provided in a time sequence
  • the light-deflecting component is configured to receive the image signal and deflect the image signal towards a number of traveling directions
  • the first cylindrical lens array is configured to receive a deflected image signal and effect a formation of an image in the body.
  • the formed image in the body has a fourth length in the first axial direction.
  • the first length is configured using a [(2*N+1)*S] calculation
  • the second length is configured using a [(N+2)*S] calculation
  • the third length is configured using a [N*S] calculation, wherein S is the fourth length and N is a positive integer greater than one.
  • a ratio of the number of the second cylindrical lenses to the number of the third cylindrical lenses is calculated using [(M+1)/M], wherein M is a positive integer.
  • At least two of the second cylindrical lenses are provided adjacent to each other.
  • a group of the second cylindrical lenses and a group of the third cylindrical lenses are arranged alternately.
  • the light-deflecting component has a plurality of refractive interfaces facing the double-sided lenticular lens.
  • the refractive interfaces are arranged along a second axial direction and extend along a third axial direction orthogonal to the second axial direction. Each of the second axial direction and the third axial direction is different from the first axial direction.
  • the light-deflecting component is configured to receive the light beam and deflect the light beam via the refractive interfaces towards a plurality of different deflected directions.
  • the second axial direction and the third axial direction each deviate from the first axial direction with a substantially equal angle.
  • the light-deflecting component includes a light entry surface and micro prisms facing the double-sided lenticular lens.
  • the micro prisms are arranged along a fourth axial direction deviating from the first direction at an angle selected from a range between 30 degrees and 60 degrees.
  • an optical axis of at least one of the first cylindrical lenses is parallel to an optical axis of one of the second cylindrical lenses, and an optical axis of at least one of the first cylindrical lenses is parallel to an optical axis of the third cylindrical lens.
  • An aspect of the present disclosure provides an autostereoscopic display device including an autostereoscopic display screen and an image emitter.
  • the autostereoscopic display screen includes a light-deflecting component and a double-sided lenticular lens.
  • the light-deflecting component is configured to allow a light beam to pass through it and deflect the light beam to travel towards multiple directions.
  • the double-sided lenticular lens is disposed at a side of the light-deflecting component and the double-sided lenticular lens includes a first cylindrical lens array, a second cylindrical lens array, and a central portion.
  • the first cylindrical lens array faces towards the light-deflecting component and includes a plurality of first cylindrical lenses, in which each of the first cylindrical lenses has a first length in a first axial direction.
  • the second cylindrical lens array faces away from the light-deflecting component and includes a plurality of second cylindrical lenses and at least one third cylindrical lens.
  • the second cylindrical lenses have a second length in the first axial direction and the third cylindrical lens has a third length in the first axial direction, in which the first length is greater than the second length and the second length is greater than the third length.
  • the central portion is disposed between the first cylindrical lens array and the second cylindrical lens array.
  • the first cylindrical lens array, the central portion, and the second cylindrical lens array are arranged along an axis that is substantially perpendicular to the first axial direction.
  • the image emitter is disposed at a side of the autostereoscopic display screen such that the light-deflecting component is optically coupled between the image emitter and the double-sided lenticular lens.
  • the image emitter is configured to emit towards the autostereoscopic display screen an image signal comprising a plurality of images provided in a time sequence.
  • FIG. 1 is a schematic diagram showing a configuration of an autostereoscopic display device according to some embodiments of the present disclosure
  • FIG. 2A is a front view of the image emitter of the autostereoscopic display device illustrated in FIG. 1 ;
  • FIGS. 2B-2D are front views of different images emitted in a time sequence by the image emitter shown in FIG. 2A ;
  • FIG. 3A is a front view of the light-deflecting component of the autostereoscopic display screen according to some embodiments of the present disclosure
  • FIG. 3B is a cross-sectional diagram along dotted line B to B′′ illustrated in FIG. 3A ;
  • FIG. 4A is a front view of a light-deflecting component of the autostereoscopic display screen according to some embodiments of the present disclosure
  • FIG. 4B is a cross-sectional diagram along dotted line B to B′′ illustrated in FIG. 4A ;
  • FIG. 5 is a schematic diagram showing an image signals after passing through the double-sided lenticular lens of the autostereoscopic display screen according to some embodiments of the present disclosure
  • FIG. 6 is a schematic diagram of a double-sided lenticular lens of the autostereoscopic display screen according to some embodiments of the present disclosure
  • FIG. 7 is a schematic diagram of a double-sided lenticular lens of the autostereoscopic display screen according to some embodiments of the present disclosure.
  • FIG. 8A is a schematic diagram showing the image guided by the autostereoscopic display screen according to some embodiments of the present disclosure.
  • FIG. 8B is a schematic diagram of columns C 1 and C 2 illustrated in FIG. 8B ;
  • FIG. 9A is a schematic diagram showing the image guided by the autostereoscopic display screen according to some embodiments of the present disclosure.
  • FIG. 9B is a schematic diagram of columns C 1 to C 3 illustrated in FIG. 9A ;
  • FIG. 10A is a schematic diagram showing the image guided by the autostereoscopic display screen according to some embodiments of the present disclosure.
  • FIG. 10B is a schematic diagram of columns C 1 and C 2 illustrated in FIG. 10A .
  • image may include a light-source-distribution-image, or other image comprising a light source or light beams, as would be understood by a person skilled in the art.
  • a light-source-distribution-image comprises images of, or viewed from, one or more perspectives of a target scope of view.
  • the light-source-distribution-image may also include images of the light source or light beams viewed at different time periods or intervals.
  • an autostereoscopic display device 100 is shown providing observing zones O 1 -O 4 with stereoscopic images by time-multiplexing and spatial-multiplexing. Although four observing zones are illustrated in FIG. 1 , the number of the observing zones may be less or more than four.
  • the observing zones O 1 -O 4 are arranged along a first axial direction D 1 , in which the first axial direction D 1 is a direction of a line connecting eyes of an observer viewing the autostereoscopic display device 100 .
  • the autostereoscopic display device 100 includes an image emitter 102 and an autostereoscopic display screen 110 .
  • the image emitter 102 is disposed at one side of the autostereoscopic display screen 110 (distal to the observing zone O 1 -O 4 ) and configured to emit an image signal 104 towards the autostereoscopic display screen 110 , such that the image signal 104 emitted from the image emitter 102 can travel to the observing zones O 1 -O 4 through the guidance provided by the configuration of the autostereoscopic display screen 110 .
  • the autostereoscopic display screen 110 includes a light-deflecting component 112 (which may be a micro-deflector) and a double-sided lenticular lens 120 .
  • the double-sided lenticular lens 120 is disposed at one side of the light-deflecting component 112 proximal to the observing zones O 1 -O 4 .
  • the light-deflecting component 112 is optically coupled between the image emitter 102 and the double-sided lenticular lens 120 .
  • the double-sided lenticular lens 120 includes a central portion 122 , a first cylindrical lens array 124 , and a second cylindrical lens array 128 .
  • the central portion 122 is disposed between the first cylindrical lens array 124 and the second cylindrical lens array 128 .
  • the central portion 122 , the first cylindrical lens array 124 , and the second cylindrical lens array 128 may be integrally formed as one central portion.
  • the first cylindrical lens array 124 is disposed on the central portion 122 and located between the light-deflecting component 112 and the central portion 122 .
  • the second cylindrical lens array 128 is disposed on the central portion 122 and is opposite to the first cylindrical lens array 124 .
  • the first cylindrical lens array 124 , the central portion 122 , and the second cylindrical lens array 128 are arranged along an arranging direction, and the first axial direction D 1 is substantially perpendicular to the arranging direction.
  • the first cylindrical lens array 124 includes first cylindrical lenses 126 , in which the first cylindrical lenses 126 are arranged along the first axial direction D 1 and each of the first cylindrical lenses 126 has a first length A in the first axial direction D 1 .
  • the second cylindrical lens array 128 includes second cylindrical lenses 130 and at least one third cylindrical lenses 132 .
  • Each of the second cylindrical lenses 130 has a second length B in the first axial direction D 1
  • the third cylindrical lens 132 has a third length C in the first axial direction D 1 .
  • the first length A is greater than the second length B and the second length B is greater than the third length C (A>B>C).
  • the first cylindrical lenses 126 , the second cylindrical lenses 128 , and the third cylindrical lens 132 have different dimensions.
  • the configuration of the first cylindrical lens array 124 is not symmetrical to the second cylindrical lens array 128 .
  • the image signal 104 emitted by the image emitter 102 can be distributed to desired positions through the double-sided lenticular lens 120 , and the range zones to provide an observer with the stereoscopic images can be enlarged. Further details will be described later.
  • the image emitter 102 provides example images 106 in a time sequence with a time-multiplex effect.
  • the plurality of images 106 , 106 a , 106 b , 106 c are shown arranged along a horizontal direction, but can also be arranged along a vertical direction.
  • the plurality of images 106 , 106 a , 106 b , 106 c can also be arranged as an array.
  • the image emitter 102 emits the first image 106 a at a first time point in the time sequence.
  • the image emitter 102 emits the second image 106 b at a second time point in the time sequence.
  • the image emitter 102 emits the third image 106 c at the third time point in the time sequence.
  • the image emitter 102 can emit eight images 106 in the time sequence. Then, following this rule, after a whole time sequence (from the first time point to the eighth time point in the time sequence), a period of emitting the image signal 104 by the image emitter 102 is finished.
  • FIG. 3A shows a front view of the light-deflecting component 112 .
  • the “front view” means viewing the light-deflecting component 112 from the double-sided lenticular lens 120 .
  • the light-deflecting component 112 includes a light entry surface 113 and a light exit surface 114 which are opposite each other, in which the light entry surface 113 faces the image emitter 102 and the light exit surface 114 faces the double-sided lenticular lens 120 .
  • the light-deflecting component 112 shown in FIG. 3A is viewed from the double-sided lenticular lens 120 onto the light exit surface 114 of the light-deflecting component 112 .
  • the first axial direction D 1 as illustrated in FIG. 1
  • a second axial direction D 2 a third axial direction D 3
  • a fourth axial direction D 4 is also shown in FIG. 3A .
  • the light-deflecting component 112 has various refractive interfaces.
  • the light-deflecting component 112 has a first refractive interface A 1 and a second refractive interface A 2 .
  • the first refractive interfaces A 1 and second refractive interfaces A 2 are disposed on the light exit surface 114 of the light-deflecting component 112 , facing the double-sided lenticular lens 120 .
  • the first refractive interface A 1 and a second refractive interface A 2 are shown in FIG. 3A represented by different patterns, and are repeatedly provided on the light exit surface 114 .
  • the plurality of the first refractive interfaces A 1 and second refractive interfaces A 2 are arranged along the second axial direction D 2 and are parallel to each other wherein each interface extends along the third axial direction D 3 .
  • the second axial direction D 2 and the third axial direction D 3 are orthogonal.
  • the light-deflecting component 112 is configured to allow a light beam to pass through and travel towards more than one direction. For example, a light beam passing through the light-deflecting component 112 can travel towards T traveling directions, T being a positive integer greater than one.
  • the light-deflecting component 112 is a second-order light-deflecting component, and the image signal 104 emitted from the image emitter 102 can travel along two directions after passing through the light-deflecting component 112 (thus, the value M is 2).
  • the light-deflecting component 112 can include micro prisms 116 a and 116 b , disposed opposite to the light entry surface 113 .
  • the micro prisms 116 a and 116 b are located between the light entry surface 113 and the double-sided lenticular lens 120 .
  • the micro prisms 116 a and 116 b are arranged along a fourth axial direction D 4 , the fourth axial direction D 4 being parallel to the second axial direction D 2 . Shown in FIG.
  • the arrangement of the fourth axial direction D 4 is slanted at an angle ⁇ relative to the first axial direction D 1 , wherein the angle ⁇ may be chosen from a range between 30 degrees to 60 degrees.
  • the fourth axial direction D 4 can be slanted at an angle ⁇ of 45 degrees relative to the first axial direction D 1 .
  • the third axial direction D 3 being substantially perpendicular to the fourth axial direction D 4 , is then slanted at an angle ⁇ of also 45 degrees relative to the first axial direction D 1 .
  • the refractive interfaces A 1 , A 2 are formed by the surfaces of the micro prisms 116 a and 116 b .
  • the two light exit surfaces of the micro prism 116 a respectively are the first refractive interface A 1 and the second refractive interface A 2
  • the two light exit surfaces of the micro prism 116 b respectively are the first refractive interface A 1 ′′ and the second refractive interface A 2 ′′.
  • the dimensions of the first refractive interfaces A 1 and the second refractive interfaces A 2 can be configured according to an expected image signal 104 .
  • the width of each of the refractive interfaces in the second axial direction D 2 can be slightly less or equal to a diagonal length of each image of the image signal 104 entering the light-deflecting component 112 .
  • how many of the first refractive interfaces A 1 and the second refractive interfaces A 2 to be provided on the light exit surface 114 can be configured according to the number of the images expected from the image signal 104 .
  • the image signal 104 passes through the light-deflecting component 112 , since the axial direction D 3 (the extended direction of the refractive interfaces) is slanted at the angle of 45 degrees relative to the first axial direction D 1 , the image signal 104 passing through the light-deflecting component 112 has displacements in the horizontal direction and the vertical direction relatively to the original, and are about the same.
  • the light-deflecting component 112 is a third-order light-deflecting component having a first refractive interfaces A 1 , a second refractive interfaces A 2 , and a third refractive interfaces A 3 , which are illustrated with different patterns.
  • the light-deflecting component 112 includes micro prisms 116 a and 116 b , in which the first refractive interfaces A 1 , the second refractive interfaces A 2 , and the third refractive interfaces A 3 are three light exit surfaces of the micro prisms 116 a and 116 b .
  • the three light exit surfaces of the micro prism 116 a comprises the first refractive interface A 1 , the second refractive interface A 2 , and the third refractive interface A 3
  • the three light exit surfaces of the micro prism 116 b comprises the first refractive interface A 1 ′′, the second refractive interface A 2 ′′, and the third refractive interface A 3 ′′.
  • the image signal 104 when the image signal 104 (see FIG. 1 ) emitted from the image emitter 102 (see FIG. 1 ) passes through the light-deflecting component 112 , the image signal 104 can be deflected by the micro prisms 116 a and 116 b to travel along three directions which are different from each other.
  • the autostereoscopic display screen 110 can further include a Fresnel lens (not illustrated).
  • the Fresnel lens can be disposed between the light-deflecting component 112 and the double-sided lenticular lens 120 and configured to make the image signal 104 passing through the light-deflecting component 112 to parallely enter the double-sided lenticular lens 120 .
  • the image signal 104 After the image signal 104 enters the double-sided lenticular lens 120 , the image signal 104 is imaged in the central portion 122 through the first cylindrical lens array 124 , such that the image signal 104 imaged in the central portion 122 can become an imaged signal 108 .
  • the imaged signal 108 has a fourth length S in the first axial direction D 1 .
  • the length in the first axial direction D 1 of the first cylindrical lenses 126 , the second cylindrical lenses 130 , and the third cylindrical lens 132 can be calculated according to parameters of the autostereoscopic display device 100 .
  • the first length A of each of the first cylindrical lenses 126 in the first axial direction D 1 is expressed as A
  • the second length B of each of the second cylindrical lenses 130 in the first axial direction D 1 is expressed as B
  • the third length C of the third cylindrical lenses 132 in the first axial direction D 1 is expressed as C.
  • the magnitude of the first length A may be calculated by [(2*N+1)*S]
  • the magnitude of the second length B may be calculated by [(N+2)*S]
  • the magnitude of the third length C may be calculated by [N*S], wherein N is a positive integer greater than one.
  • the positive integer N is the number of the projected directions of the image signal 104 passing through the double-sided lenticular lens 120 in the autostereoscopic display screen 110 .
  • the parallel light beam can be projected to N direction by the double-sided lenticular lens 120 .
  • the arrangement of the second cylindrical lenses 130 and the third cylindrical lens 132 can be calculated according the positive integer N.
  • the third cylindrical lens 132 may be more than one.
  • the position of each of the second cylindrical lenses 130 is expressed as X
  • the position of each of the third cylindrical lenses 132 is expressed as Y.
  • the arrangement of the second cylindrical lenses 130 and the third cylindrical lenses 132 can be expressed as [X(XY) (N-1) ], and the second cylindrical lenses 130 and the third cylindrical lenses 132 are arranged with this arranging rule.
  • the positive integer N being 2
  • the second cylindrical lenses 130 and the third cylindrical lenses 132 can be arranged as [XXY].
  • the second cylindrical lenses 130 and the third cylindrical lenses 132 can be repeatedly arranged using the rule [XXYXXYXY . . . ].
  • the second cylindrical lenses 130 and the third cylindrical lenses 132 can be arranged as [XXYXY . . . ].
  • the second cylindrical lenses 130 and the third cylindrical lenses 132 can be repeatedly arranged using the rule [XXYXYXXYXYXY . . . ].
  • at least two of the second cylindrical lenses 130 are adjacent to each other. In other words, none of the other lenses (for example, the third cylindrical lenses 132 ) is disposed between the adjacent second cylindrical lenses 130 .
  • a portion of the second cylindrical lenses 130 and a portion of the third cylindrical lenses 132 are arranged alternately.
  • a ratio of the number of the second cylindrical lenses 130 to the third cylindrical lenses 132 may be calculated by [(M+1)/M], wherein M is a positive integer.
  • the number of the second cylindrical lenses 130 can be set to be one more than the number of the third cylindrical lenses 132 .
  • a light beam passing through the double-sided lenticular lens 120 travels toward two directions, and thus the positive integer N is equal to 2. Therefore, according to the calculation of the first length A, the second length B, and the third length C described above, the first length A is equal to 5S, the second length B is equal to 4S, and the third length is equal to 2S.
  • the first cylindrical lens array 124 the first cylindrical lenses 126 are repeatedly arranged.
  • the second cylindrical lenses 130 and the third second cylindrical lenses 132 are arranged periodically. In the periodical arrangement of the second cylindrical lenses 130 and the third second cylindrical lenses 132 , two second cylindrical lenses 130 are provided, and then one third second cylindrical lens 132 is provided.
  • the first cylindrical lens array 124 and the second cylindrical lens array 128 are not symmetrical to each other, there is at least one shift relationship between the first cylindrical lens array 124 and the second cylindrical lens array 128 .
  • the optical axis of at least one of the first cylindrical lenses 126 and the optical axis of one of the second cylindrical lenses 128 are parallel and do not coincide with each other.
  • the optical axis of at least one of the first cylindrical lenses 126 and the optical axis of the third cylindrical lens 132 are parallel and not coincided with each other.
  • the image signal 104 entering the double-sided lenticular lens 120 can be projected towards the different direction.
  • the image signals 104 a and 104 b entering the double-sided lenticular lens 120 through the first cylindrical lenses 126 a and 126 b are shown projecting towards different directions.
  • the light beam traveling towards the observing zones O 1 -O 4 can have a wider angle of divergence relative to the light beam emitted from the image emitter 102 . Therefore, the angle of divergence of the image signal 104 can be increased by the double-sided lenticular lens 120 .
  • the autostereoscopic display screen 110 (see FIG. 1 ) can increase the range of the observable angle of the image through the double-sided lenticular lens 120 .
  • the double-sided lenticular lens 120 allows a light beam passing through to travel towards three directions, and thus the positive inter N is equal to 3.
  • the image signals 104 a , 104 b , and 104 c entering the double-sided lenticular lens 120 through the first cylindrical lenses 126 a , 126 b , and 126 c can be projected towards the different directions.
  • the first length A is equal to 7S
  • the second length B is equal to 5S
  • the third length is equal to 3S.
  • the first cylindrical lens array 124 the first cylindrical lenses 126 are arranged repeatedly.
  • the second cylindrical lens array 128 the second cylindrical lenses 130 and the third second cylindrical lenses 132 are arranged periodically.
  • the periodical arrangement of the second cylindrical lenses 130 and the third second cylindrical lenses 132 two second cylindrical lenses 130 are provided, one third second cylindrical lens 132 is provided, one second cylindrical lens 130 is provided, and then one third second cylindrical lens 132 is provided in sequence.
  • the double-sided lenticular lens 120 allows a light beam passing through to travel towards four directions, and thus the positive inter N is equal to 4.
  • the image signals 104 a , 104 b , 104 c , and 104 d entering the double-sided lenticular lens 120 through the first cylindrical lenses 126 a , 126 b , 126 c , and 126 d can be projected towards different directions.
  • the first length A is equal to 9S
  • the second length B is equal to 6S
  • the third length is equal to 4S.
  • the first cylindrical lens array 124 the first cylindrical lenses 126 are arranged repeatedly.
  • the second cylindrical lens array 128 the second cylindrical lenses 130 and the third second cylindrical lenses 132 are arranged periodically.
  • two second cylindrical lenses 130 are provided, one third second cylindrical lens 132 is provided, one second cylindrical lens 130 is provided, one third second cylindrical lens 132 is provided, one second cylindrical lens 130 is disposed, and then one third second cylindrical lens 132 is provided in sequence.
  • each segment of the grid can be taken as a pixel P of the images of the image signal.
  • Each of the diagonal lines represents a boundary between adjacent refractive interfaces of the light-deflecting component 112 , for example the first refractive interfaces expressed as A 1 and the second refractive interfaces expressed as A 2 .
  • Each of the vertical dot-line represents the boundary of the adjacent first cylindrical lenses 126 a and 126 b of the double-sided lenticular lens 120 , in which the images passing through the first cylindrical lenses 126 a and 126 b can be projected towards two directions.
  • the autostereoscopic display screen 110 can further include block components 134 , shown in shaded patterns. The block components 134 can be adhered on the light-deflecting component 112 .
  • each of the pixels P can correspond to one of the first cylindrical lenses (the first cylindrical lens 126 a or 126 b ) and also one of the refractive interfaces (the first refractive interface A 1 or the second refractive interface A 2 ), such that the image signal 104 (see FIG. 1 ) provided by the image emitter 102 (see FIG. 1 ) can be projected towards more than one direction.
  • the light-deflecting component 112 can project a light beam passing through towards two directions and the double-sided lenticular lens 120 can project a light beam passing through towards two directions through the first cylindrical lenses 126 a or 126 b
  • the image signal 104 can be projected towards four directions (equal to the product of the T traveling directions and the positive integer N).
  • the pixel P 1 corresponds to the first cylindrical lens 126 a and the first refractive interface A 1
  • the pixel P 2 corresponds to the first cylindrical lens 126 a and the second refractive interface A 2
  • the pixel P 3 corresponds to the first cylindrical lens 126 b and the second refractive interface A 1
  • the pixel P 4 corresponds to the first cylindrical lens 126 b and the second refractive interface A 2 .
  • the pixels P 1 -P 4 After image signals of the pixels P 1 -P 4 pass through the light-deflecting component and the double-sided lenticular lens, the pixels P 1 -P 4 each travel towards different directions. In other words, after the image signal 104 (see FIG. 1 ) provided by the image emitter 102 (see FIG. 1 ) passes the autostereoscopic display screen 110 , the image signal 104 is projected towards four directions. Therefore, the autostereoscopic display screen 110 can provide whole images to the observing zones using a spatial-multiplex way.
  • a third-order light-deflecting component 112 and a double-sided lenticular lens 120 with a positive integer N being equal to 3 are used.
  • the light-deflecting component 112 can project a light beam passing through towards three directions and the double-sided lenticular lens 120 can project a light beam passing through towards three directions
  • the image signal 104 can be projected towards nine directions (the number of the projected directions is equal to the product of the T traveling directions and the positive integer N).
  • each of the grid segments can be taken as a pixel P of the images of the image signal 104 (see FIG. 1 ).
  • Each of the diagonal lines represents a boundary between the adjacent refractive interfaces of the light-deflecting component 112 , in which the first refractive interfaces A 1 , the second refractive interfaces A 2 , and the third refractive interfaces A 3 are illustrated.
  • Each of the vertical dot-line represents the boundary of the adjacent first cylindrical lenses 126 a , 126 b , and 126 c of the double-sided lenticular lens 120 , in which the images passing through the first cylindrical lenses 126 a , 126 b , and 126 c can be projected towards three directions.
  • the block components 134 are illustrated as shaded patterns in FIG. 9A .
  • the pixel P 1 corresponds to the first cylindrical lens 126 a and the first refractive interface A 1 .
  • the pixel P 2 (the grid segment marked as 2) corresponds to the first cylindrical lens 126 a and the second refractive interface A 2 .
  • the pixel P 3 (the grid segment marked as 3) corresponds to the first cylindrical lens 126 a and the third refractive interface A 3 .
  • the pixel P 4 (the grid segment marked as 4) corresponds to the first cylindrical lens 126 b and the first refractive interface A 1 .
  • the pixel P 5 (the grid segment marked as 5) corresponds to the first cylindrical lens 126 b and the second refractive interface A 2 .
  • the pixel P 6 corresponds to the first cylindrical lens 126 b and the third refractive interface A 3 .
  • the pixel P 7 (the grid segment marked as 7) corresponds to the first cylindrical lens 126 c and the first refractive interface A 1 .
  • the pixel P 8 (the grid segment marked as 8) corresponds to the first cylindrical lens 126 c and the second refractive interface A 2 .
  • the pixel P 9 (the grid segment marked as 9) corresponds to the first cylindrical lens 126 c and the third refractive interface A 3 .
  • the image signals of the pixels P 1 -P 9 travel towards nine directions which are different from each other.
  • the image signal 104 is projected towards nine directions.
  • a fourth-order light-deflecting component 112 and a double-sided lenticular lens 120 with a positive integer N being equal to 2 are used.
  • the light-deflecting component 112 can project a light beam passing through towards four directions and the double-sided lenticular lens 120 can project a light beam passing through towards two directions.
  • the image signal 104 (see FIG. 1 ) provided by the image emitter 102 (see FIG. 1 ) passes through the light-deflecting component 112 and the double-sided lenticular lens 120 , the image signal 104 can be projected towards eight directions (the number of the projected directions is equal to the product of the T traveling directions and the positive integer N).
  • each of the grid segments can be taken as a pixel P of the images of the image signal 104 (see FIG. 1 ).
  • Each of the diagonal lines represents a boundary between the adjacent refractive interfaces of the light-deflecting component 112 .
  • the first refractive interfaces A 1 , the second refractive interfaces A 2 , the third refractive interfaces A 3 , and the fourth refractive interfaces A 4 are illustrated in FIG. 10A .
  • Each of the vertical dot-line represents the boundary of the adjacent first cylindrical lenses 126 a and 126 b of the double-sided lenticular lens 120 , in which the images passing through the first cylindrical lenses 126 a and 126 b can be projected towards two directions.
  • the block components 134 are illustrated as shaded patterns in FIG. 10A .
  • the pixel P 1 corresponds to the first cylindrical lens 126 a and the first refractive interface A 1 .
  • the pixel P 2 (the grid segment marked as 2) corresponds to the first cylindrical lens 126 a and the second refractive interface A 2 .
  • the pixel P 3 (the grid segment marked as 3) corresponds to the first cylindrical lens 126 a and the third refractive interface A 3 .
  • the pixel P 4 (the grid segment marked as 4) corresponds to the first cylindrical lens 126 a and the fourth refractive interface A 4 .
  • the pixel P 5 (the grid segment marked as 5) corresponds to the first cylindrical lens 126 b and the first refractive interface A 1 .
  • the pixel P 6 corresponds to the first cylindrical lens 126 b and the second refractive interface A 2 .
  • the pixel P 7 (the grid segment marked as 7) corresponds to the first cylindrical lens 126 b and the third refractive interface A 3 .
  • the pixel P 8 (the grid segment marked as 8) corresponds to the first cylindrical lens 126 b and the second refractive interface A 4 .

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